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Simplifying -6 + 5x = 4(3x + 7) Reorder the terms: -6 + 5x = 4(7 + 3x) -6 + 5x = (7 * 4 + 3x * 4) -6 + 5x = (28 + 12x) Solving -6 + 5x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 5x + -12x = 28 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = 28 + 0 -6 + -7x = 28 Add '6' to each side of the equation. -6 + 6 + -7x = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 28 + 6 -7x = 28 + 6 Combine like terms: 28 + 6 = 34 -7x = 34 Divide each side by '-7'. x = -4.857142857 Simplifying x = -4.857142857
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